if 2 angle A = 3 angleB = 6angleC, then find the measure of angleA.
point on the minor arc.
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According to the condition in the △ABC, 2∠A=3∠B=6∠C
⇒∠A=3∠C and, ∠B=2∠C
Sum of interior angles of the triangle is 180
o
Hence ∠A+∠B+∠C=180
o
⇒3∠C+2∠C+∠C=180
o
⇒∠C=30
o
∴∠A=90
0
,∠B=60
o
,∠C=30
o
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